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Finding the Fourth Proportional to 26,673.50, 40,012.32 and 7,952.10

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Solution

The fourth proportional to 26,673.50, 40,012.32 and 7,952.10 is: 11,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,673.50 : 40,012.32 = 7,952.10 : x
  2. Step 2: Convert to fraction form
    26,673.50/40,012.32 = 7,952.10/x
  3. Step 3: Cross multiply
    26,673.50x = 40,012.32 × 7,952.10
  4. Step 4: Simplify right side
    26,673.50x = 318,181,969.87
  5. Step 5: Solve for x
    x = 318,181,969.87/26,673.50
  6. Step 6: Final answer
    x = 11,928.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.